413712200 has 96 divisors (see below), whose sum is σ = 1056360960. Its totient is φ = 149433600.

The previous prime is 413712197. The next prime is 413712217. The reversal of 413712200 is 2217314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380057 + ... + 381143.

It is an arithmetic number, because the mean of its divisors is an integer number (11003760).

Almost surely, 2^413712200 is an apocalyptic number.

413712200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413712200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528180480).

413712200 is an abundant number, since it is smaller than the sum of its proper divisors (642648760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413712200 is a wasteful number, since it uses less digits than its factorization.

413712200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 413712200 is about 20339.9164206739. The cubic root of 413712200 is about 745.1312472399.

Adding to 413712200 its reverse (2217314), we get a palindrome (415929514).

The spelling of 413712200 in words is "four hundred thirteen million, seven hundred twelve thousand, two hundred".